In this paper, we give an algorithm for the node-to-set disjoint paths problem in pancake graphs with its evaluation results. The algorithm is of polynomial order of n for an n-pancake graph. It is based on recursion and divided into two cases according to the distribution of destination nodes in classes into which all the nodes in a pancake graph are categorized. The sum of lengths of paths obtained and the time complexity of the algorithm are estimated and the average performance is evaluated based on computer simulation.
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Keiichi KANEKO, Yasuto SUZUKI, "Node-to-Set Disjoint Paths Problem in Pancake Graphs" in IEICE TRANSACTIONS on Information,
vol. E86-D, no. 9, pp. 1628-1633, September 2003, doi: .
Abstract: In this paper, we give an algorithm for the node-to-set disjoint paths problem in pancake graphs with its evaluation results. The algorithm is of polynomial order of n for an n-pancake graph. It is based on recursion and divided into two cases according to the distribution of destination nodes in classes into which all the nodes in a pancake graph are categorized. The sum of lengths of paths obtained and the time complexity of the algorithm are estimated and the average performance is evaluated based on computer simulation.
URL: https://global.ieice.org/en_transactions/information/10.1587/e86-d_9_1628/_p
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@ARTICLE{e86-d_9_1628,
author={Keiichi KANEKO, Yasuto SUZUKI, },
journal={IEICE TRANSACTIONS on Information},
title={Node-to-Set Disjoint Paths Problem in Pancake Graphs},
year={2003},
volume={E86-D},
number={9},
pages={1628-1633},
abstract={In this paper, we give an algorithm for the node-to-set disjoint paths problem in pancake graphs with its evaluation results. The algorithm is of polynomial order of n for an n-pancake graph. It is based on recursion and divided into two cases according to the distribution of destination nodes in classes into which all the nodes in a pancake graph are categorized. The sum of lengths of paths obtained and the time complexity of the algorithm are estimated and the average performance is evaluated based on computer simulation.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Node-to-Set Disjoint Paths Problem in Pancake Graphs
T2 - IEICE TRANSACTIONS on Information
SP - 1628
EP - 1633
AU - Keiichi KANEKO
AU - Yasuto SUZUKI
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E86-D
IS - 9
JA - IEICE TRANSACTIONS on Information
Y1 - September 2003
AB - In this paper, we give an algorithm for the node-to-set disjoint paths problem in pancake graphs with its evaluation results. The algorithm is of polynomial order of n for an n-pancake graph. It is based on recursion and divided into two cases according to the distribution of destination nodes in classes into which all the nodes in a pancake graph are categorized. The sum of lengths of paths obtained and the time complexity of the algorithm are estimated and the average performance is evaluated based on computer simulation.
ER -